Step-by-step Answer:
There is a total of 10 coins, 5 dimes, 2 quarters and three pennies.
By picking a coin, it could be any that shows up out of the 10, so the probability of picking any coin in particular is 1 / 10.
If there are 5 dimes, the probability of picking ANY one particular dime is 1/10, so with 5, the probability of picking ANY of the five dimes is 5/10 = 1/2.
Going along the same line of thought, the probability of picking any of quarters and pennies would be 2/10+3/10 = 5/10 = 1/2 as well.
Area = 30 square feet
length = 6 feet
width = ?
w × l = area
w × 6 = 30
w = 30/6
w = 5 feet
Answer:
6x + 14
Step-by-step explanation:
Area = side x side
Factor the quadratic:
2x^2 +10x / +1x +5
2x(x+5) 1 (x+5)
(2x + 1) (x+5)
^These are your two sides
Perimeter =2L + 2W
(2(2x+1)) + (2(x+5))
4x+4+2x+10 = final answer 6x + 14
First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.
To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:
